Phys. Rev. D 5, 422–427 (1972)Boundary Dispersion RelationsReceived 30 April 1971; published in the issue dated 15 January 1972 We derive a dispersion relation for direct-channel reactions of the type a+b→c+d with mb=md, e.g., γN→πN, which involves contributions from both forward and backward scattering of the direct channel and backward scattering of the crossed channel but no contribution from unphysical regions of the direct channel. In particular, the integral involving the direct-channel contribution is evaluated along the boundary of the physical region. Our result, in the case of elastic scattering, i.e., ma=mc, reduces to the familiar backward dispersion relation. © 1972 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.5.422
DOI:
10.1103/PhysRevD.5.422
PACS:
See AlsoComment: G. E. Hite, Richard J. Jacob, and Frank Steiner, Extension of Boundary Dispersion Relations, Phys. Rev. D 6, 3333 (1972). |
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